Volume and Surface Area MCQs

Prepare for Volume and Surface Area MCQs with verified questions, past-paper solutions, and conceptual explanations for CSS, PMS, FPSC, PPSC, and NTS examinations.

260 Solved Questions • 195 Mins Practice • Updated for 2026 Competitive Exams
MCQS
2026 Solved Edition · Updated October 2026 · Verified Editorial Standards

Welcome to the verified preparation module for Volume and Surface Area MCQs on McqsMind. This comprehensive set offers solved multiple-choice questions with answers, detailed explanations, and authentic past-paper style questions aligned with the latest syllabus of Geometry (Mathematics-General Ability).

100% Verified Answer Keys CSS, PMS, FPSC, PPSC, NTS Ready 2026/2027 Syllabus Guidelines

Direct Definition & Conceptual Scope

AEO Verified

Volume and Surface Area constitutes an essential examination topic within Mathematics-General Ability, evaluating theoretical principles, historical context, and practical problem-solving applications. On MCQsMind, candidates practice verified past-paper solutions, conceptual breakdowns, and syllabus-aligned questions tailored for CSS, PMS, and competitive screening examinations.

Solved Questions

Practice with answers, explanations, and exam-focused revision notes.

260 MCQs Page 20

High-Yield Exam Revision Cheat Sheet & Mnemonics

Essential exam standard definitions and formulas for rapid 2-minute revision

High-Frequency Articles
  • Art. 6: High Treason
  • Art. 9: Security of Person
  • Art. 19-A: Right to Information
  • Art. 25-A: Free Education (5–16 yrs)
Federalism & Provinces
  • Art. 140-A: Local Government
  • Art. 153: Council of Common Interests
  • Art. 160: National Finance Commission
  • Art. 175-A: Judicial Commission (JCP)
Islamic Provisions
  • Art. 2: Islam as State Religion
  • Art. 2A: Objectives Resolution Substantive
  • Art. 203: Federal Shariat Court (FSC)
  • Art. 228: Council of Islamic Ideology
Need a quick refresher on Volume and Surface Area key concepts?
Review Topic Notes on Page 1 →

Want adaptive tracking for this topic?

Login to save wrong answers to your Mistake Bank and build your weakness heatmap automatically.

Session Progress 0 / 0 Solved
Reveal answers to start tracking your session progress!
191
A cube of side 4 cm is cut into small cubes of side 1 cm. What is the ratio of the surface area of the original cube to the sum of the surface areas of the smaller cubes?
Share
192
Two solid hemispheres of the same base radius r are joined together along their bases. The curved surface area of this new solid is:
Share
193
The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 2 mm. The length of the wire is:
Share
194
If the volume of two cubes is in the ratio 27:64, what is the ratio of their surface areas?
Share
195
A right triangle with sides 3 cm, 4 cm, and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is:
Share
196
A swimming pool is 24 m long and 15 m wide. If 3600 cubic meters of water is pumped into it, find the rise in water level.
Share
197
The radii of two cylinders are in the ratio 2:3 and their curved surface areas are in the ratio 5:3. What is the ratio of their volumes?
Share
198
The curved surface area of a right circular cylinder of height 14 cm is 88 cm². Find the diameter of the base.
Share
199
A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.
Share
200
If the height of a cylinder is doubled, by what number must the radius be multiplied so that the volume remains the same?
Share
Pedagogical Syllabus Blueprint

Volume and Surface Area MCQs: Preparation Strategy & Exam Blueprint

Examination Weightage & Commission Distribution

In Pakistan's premier competitive examinations—including the Federal Public Service Commission (FPSC General Recruitment & CSS MPT), Punjab Public Service Commission (PPSC Lecturer, Tehsildar & PMS Screening), KPPSC, SPSC, and BPSC—questions derived from Volume and Surface Area MCQs consistently constitute a decisive 10% to 25% weightage of the Geometry paper. Testing agencies frequently evaluate both foundational factual recall and deeper analytical comprehension, requiring aspirants to master key dates, statutory articles, constitutional clauses, and thematic definitions.

High-Yield Conceptual Pillars & Distractor Analysis

Historical trend analysis across past five-year examination cycles demonstrates that examiner traps frequently involve closely matched numerical alternatives, chronologically contiguous treaties, and semantic subtleties in statutory phraseology. When preparing Volume and Surface Area MCQs, candidates must deliberately review the underlying rationale provided for every question rather than merely memorizing raw answer options. Understanding why incorrect distractors fail is the most reliable predictor of achieving top percentiles in computerized and optical mark recognition (OMR) screening tests.

Negative Marking Mitigation & Time Management Protocol

For examinations enforcing negative marking penalties (such as PPSC's 0.25-mark deduction per erroneous response or NTS gatekeeper quotas), an aggressive elimination technique must be deployed. Candidates should systematically rule out improbable options first to elevate probability thresholds from 25% to 50% or 100%. Allocating an average of 45 to 60 seconds per item during mock trials builds the psychological stamina and cognitive precision required to complete 100-question papers within official 90-minute time limits.

Recommended Reference Sources & Statutory Reading

To achieve definitive conceptual mastery in Mathematics-General Ability, candidates are advised to cross-reference our solved explanations with primary gazettes, statutory texts, and canonical academic textbooks. Verifying controversial questions against authentic official repositories guarantees that prospective civil servants and professional candidates present incontestable answers during both optical paper evaluations and viva voce departmental interviews.